Question

log 9 3√27=x
qual e o valor de x

Answer 1

Boa tarde!

$\log_9\left(3\sqrt{27}\right)=\dfrac{\log_3\left(3\cdot 3\cdot\sqrt{3}}{\log_3\left(9\right)}\\\log_9\left(3\sqrt{27}\right)=\dfrac{\log_3\left(3^{\dfrac{5}{2}}\right)}{\log_3\left(3^2\right)}=\dfrac{5/2}{2}=\dfrac{5}{4}$

Espero ter ajudado!

Answer 2

$log_9\ 3\sqrt{27} \\ \\ 27 = 3^3 \\ 3\sqrt{27} = 3\ . \ 3^\frac{3}{2}\ = \ 3^\frac{5}{2} \\ \\ log_9\ 3^\frac{5}{2}\ = x \\ \\ 9^x = 3^\frac{5}{2} \\ 3^{2x} = 3^\frac{5}{2} \\ 2x = \frac{5}{2} \\ x = \frac{5}{4}\\ \\ =)$